The sum of 5 times a number and -7, added to 9 times the number

I will use "x" to represent the (unknown) number

(5x - 7) + 9x    

[sum(addition) of 5 times(multiplication) a number and -7, added to 9 times the number. So 5x and -7 are added together, then the sum of 5x and -7 is added to 9x]

Do they want this simplified?

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions